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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 132 · 40 sums
TalentJR

The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).

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  1. 1.A cuboid is 10 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  5. 5.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
  6. 6.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  9. 9.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  12. 12.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  13. 13.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 6 cm and 21 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 60 square cm. Its parallel sides are 17 cm and 13 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has an area of 369 square cm. Its parallel sides are 23 cm and 18 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has an area of 108 square cm. Its parallel sides are 4 cm and 14 cm. What is the distance between them (in cm)?
  20. 20.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.A cuboid is 15 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 304 square cm. Its parallel sides are 8 cm and 24 cm. What is the distance between them (in cm)?
  26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has parallel sides of 8 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.A cuboid is 12 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 10 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 26 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  38. 38.A cuboid is 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

Answer key

  1. 372
  2. 80
  3. 144
  4. 15
  5. 20
  6. 190
  7. 112
  8. 221
  9. 126
  10. 160
  11. 5
  12. 1734
  13. 150
  14. 189
  15. 75
  16. 4
  17. 18
  18. 12
  19. 12
  20. 96
  21. 100
  22. 350
  23. 144
  24. 370
  25. 19
  26. 864
  27. 231
  28. 14
  29. 189
  30. 188
  31. 72
  32. 2
  33. 112
  34. 240
  35. 384
  36. 240
  37. 17
  38. 94
  39. 130
  40. 1014

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